In the annual walkathon, Lee jogs for 5 3/4 miles more than he walks. If he travelled a total of 15 miles, how many miles did he walk?
x = miles walked
x + 5.75 = miles jogged(3/4 = .75)
x + x + 5.75 = 15
Solve for x, miles walked
he walked 4.5 miles
9 1/4
To find out how many miles Lee walked, we need to set up an equation based on the given information.
Let's say Lee walked x miles. Since he jogged 5 3/4 miles more than he walked, we can express the distance he jogged as x + 5 3/4 miles.
The total distance Lee traveled is given as 15 miles. So, the equation becomes:
x + (x + 5 3/4) = 15
To solve this equation, we combine like terms:
2x + 5 3/4 = 15
Next, we can subtract 5 3/4 from both sides of the equation to isolate 2x:
2x = 15 - 5 3/4
To simplify the equation, we convert 15 to an improper fraction:
2x = 15 - 5 3/4 = 60/4 - 23/4 = 37/4
Now, let's solve for x:
2x = 37/4
Divide both sides by 2 to isolate x:
x = (37/4) / 2
x = 37/8
Therefore, Lee walked approximately 4.625 miles.